Abstract: In this paper, a random predator-prey system is established, based on which cooperative hunting and regional switching are considered. Firstly, the existence and uniqueness of the global positive solution of the model are proved. Secondly, the sufficient conditions for extinction and stationary distribution are obtained by using Lyapunov function. Finally, numerical simulation is used to demonstrate the correctness of the conclusion.
Mengting Cui, Qijunyao Yuan, Jingyi Yu, Aoran Li, Jinxu Han, Rujie Yang, Hong Qiu, "Stochastic Predator-prey System with Hunting Cooperation and Regiem Switching and Its Dynamics," WSEAS Transactions on Mathematics, vol. 23, pp. 913-919, 2024, DOI:10.37394/23206.2024.23.94
Mengting Cui, Qijunyao Yuan, Jingyi Yu, Aoran Li, Jinxu Han, Rujie Yang, Hong Qiu. Stochastic Predator-prey System with Hunting Cooperation and Regiem Switching and Its Dynamics.
WSEAS Transactions on Mathematics. 2024;23:913-919. 10.37394/23206.2024.23.94